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utkarshakash
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Homework Statement
Tangents drawn from a point P(2,3) to the circle $$x^2+y^2-8x+6y+1=0$$ touch the circle at the points A and B. Find equation of circumcircle of the ΔPAB.
The Attempt at a Solution
The chord of contact is equal to -x+3y+1=0. This is also the radical axis of the given circle and circumcircle. Let equation of circumcircle be S' and given circle be S.
Then S-S' = -x+3y+1
But the above equation does not seem to give the correct equation of circumcircle as it does not satisfy P.